Details

sample57.0ms

Algorithm

intervals

Results

20.0ms	282×	body	80	nan
20.0ms	283×	body	80	valid

simplify31.0ms

Calls

1 calls:

Slowest

31.0ms

(* c0 (sqrt (/ A (* V l))))

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize25.0ms

Local error

Found 3 expressions with local error:

15.6b	(sqrt (/ A (* V l)))
4.7b	(/ A (* V l))
0.4b	(* c0 (sqrt (/ A (* V l))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

123×	`add-sqr-sqrt`
112×	`times-frac`
83×	`sqrt-prod`
82×	`*-un-lft-identity` `add-cube-cbrt`
79×	`associate-r`
39×	`associate-l`
36×	`associate-/r*` `sqrt-div`
18×	`associate-*r/` `unswap-sqr`
13×	`*-commutative`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`pow1`
3×	`expm1-log1p-u` `rem-sqrt-square` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`sqrt-pow1` `pow1/2` `pow-prod-down`

Calls

3 calls:

Slowest

38.0ms	(* c0 (sqrt (/ A (* V l))))
19.0ms	(sqrt (/ A (* V l)))
18.0ms	(/ A (* V l))

series143.0ms

Calls

3 calls:

Slowest

80.0ms	(* c0 (sqrt (/ A (* V l))))
41.0ms	(sqrt (/ A (* V l)))
21.0ms	(/ A (* V l))

simplify4.3s

Calls

232 calls:

Slowest

247.0ms	(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
170.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
157.0ms	(sqrt (/ (* (cbrt A) (cbrt A)) (* V (* (cbrt l) (cbrt l)))))
133.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
127.0ms	(/ (* (cbrt A) (cbrt A)) (* V (* (cbrt l) (cbrt l))))

prune2.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 4 expressions with local error:

4.9b	(sqrt (/ (cbrt A) (* (cbrt V) l)))
2.5b	(/ (cbrt A) (* (cbrt V) l))
0.6b	(cbrt V)
0.6b	(cbrt V)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

204×	`add-sqr-sqrt`
198×	`times-frac`
169×	`cbrt-prod`
131×	`*-un-lft-identity` `add-cube-cbrt`
100×	`sqrt-prod`
84×	`associate-l`
42×	`associate-r`
32×	`associate-/r*` `unswap-sqr`
25×	`sqrt-div`
15×	`add-cbrt-cube`
14×	`*-commutative`
12×	`associate-/l*`
9×	`add-exp-log`
7×	`rem-sqrt-square`
6×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow1/3` `div-exp` `div-inv`
1×	`sqrt-pow1` `pow1/2` `prod-exp`

Calls

4 calls:

Slowest

22.0ms	(/ (cbrt A) (* (cbrt V) l))
16.0ms	(sqrt (/ (cbrt A) (* (cbrt V) l)))
1.0ms	(cbrt V)
1.0ms	(cbrt V)

series978.0ms

Calls

4 calls:

Slowest

317.0ms	(cbrt V)
286.0ms	(cbrt V)
236.0ms	(sqrt (/ (cbrt A) (* (cbrt V) l)))
139.0ms	(/ (cbrt A) (* (cbrt V) l))

simplify9.2s

Calls

370 calls:

Slowest

354.0ms	(/ (exp (* 1/3 (- (log (/ -1 V)) (log (/ -1 A))))) l)
309.0ms	(/ (exp (* 1/3 (- (log A) (log V)))) l)
279.0ms	(/ A (* (* (* (cbrt V) (cbrt V)) (cbrt V)) (* (* l l) l)))
221.0ms	(/ A (* (* (* (cbrt V) l) (* (cbrt V) l)) (* (cbrt V) l)))
202.0ms	(/ (* (* (cbrt A) (cbrt A)) (cbrt A)) (* V (* (* l l) l)))

prune4.9s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.3b

localize45.0ms

Local error

Found 4 expressions with local error:

4.9b	(sqrt (* (* (/ (cbrt (cbrt A)) (cbrt V)) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) l)))
0.6b	(cbrt V)
0.6b	(cbrt V)
0.6b	(cbrt A)

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

1081×	`add-sqr-sqrt`
1053×	`cbrt-prod`
375×	`times-frac`
365×	`unswap-sqr`
316×	`associate-/l*`
306×	`associate-*l/`
305×	`sqrt-div`
270×	`frac-times`
225×	`*-un-lft-identity`
224×	`add-cube-cbrt`
217×	`sqrt-prod`
153×	`associate-/r*`
151×	`associate-l`
89×	`rem-sqrt-square`
40×	`associate-r`
36×	`clear-num`
35×	`frac-2neg`
15×	`associate-*r/`
10×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `pow1/3` `pow-prod-down`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow1/2`

Calls

4 calls:

Slowest

173.0ms	(sqrt (* (* (/ (cbrt (cbrt A)) (cbrt V)) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) l)))
1.0ms	(cbrt V)
1.0ms	(cbrt A)
1.0ms	(cbrt V)

series1.1s

Calls

4 calls:

Slowest

279.0ms	(cbrt V)
269.0ms	(cbrt A)
265.0ms	(cbrt V)
246.0ms	(sqrt (* (* (/ (cbrt (cbrt A)) (cbrt V)) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) l)))

simplify1.2m

Calls

635 calls:

Slowest

835.0ms	(* (* (/ (cbrt (sqrt (cbrt A))) (sqrt (cbrt V))) (sqrt (cbrt (cbrt A)))) (/ (cbrt (cbrt (sqrt A))) (sqrt l)))
776.0ms	(sqrt (* (* (/ (cbrt (cbrt (sqrt A))) (sqrt (cbrt V))) (cbrt (sqrt (cbrt A)))) (/ (cbrt (sqrt (cbrt A))) (sqrt l))))
628.0ms	(sqrt (* (* (/ (cbrt (cbrt A)) (cbrt V)) (cbrt (cbrt A))) (/ (cbrt (cbrt 1)) (* (cbrt l) (cbrt l)))))
599.0ms	(sqrt (* (* (/ (cbrt (cbrt A)) (cbrt V)) (cbrt (cbrt A))) (/ (cbrt 1) (* (cbrt l) (cbrt l)))))
571.0ms	(sqrt (* (* (/ (cbrt (cbrt A)) (* (cbrt (cbrt V)) (cbrt (cbrt V)))) (cbrt (cbrt A))) (* (cbrt (cbrt (cbrt A))) (cbrt (cbrt (cbrt A))))))

prune12.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

3.6b	(sqrt (* (* (cbrt (/ (cbrt (cbrt A)) (cbrt V))) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) l)))
0.6b	(cbrt (/ (cbrt (cbrt A)) (cbrt V)))
0.6b	(cbrt (/ (cbrt (cbrt A)) (cbrt V)))
0.6b	(cbrt V)

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

1641×	`cbrt-prod`
1260×	`add-sqr-sqrt`
501×	`times-frac`
416×	`unswap-sqr`
334×	`associate-/l*`
324×	`cbrt-div`
308×	`*-un-lft-identity`
307×	`add-cube-cbrt`
306×	`associate-*l/`
305×	`sqrt-div`
270×	`frac-times`
235×	`sqrt-prod`
165×	`associate-/r*`
160×	`associate-l`
101×	`rem-sqrt-square`
40×	`associate-r`
38×	`clear-num`
37×	`frac-2neg`
15×	`associate-*r/`
10×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`sqrt-pow1` `pow1/3` `pow-prod-down`
2×	`un-div-inv` `*-commutative`
1×	`pow1/2`

Calls

4 calls:

Slowest

140.0ms	(sqrt (* (* (cbrt (/ (cbrt (cbrt A)) (cbrt V))) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) l)))
11.0ms	(cbrt (/ (cbrt (cbrt A)) (cbrt V)))
7.0ms	(cbrt (/ (cbrt (cbrt A)) (cbrt V)))
1.0ms	(cbrt V)

series1.5s

Calls

4 calls:

Slowest

630.0ms	(sqrt (* (* (cbrt (/ (cbrt (cbrt A)) (cbrt V))) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) l)))
290.0ms	(cbrt V)
283.0ms	(cbrt (/ (cbrt (cbrt A)) (cbrt V)))
256.0ms	(cbrt (/ (cbrt (cbrt A)) (cbrt V)))

simplify54.8s

Calls

811 calls:

Slowest

798.0ms	(* (pow A 1/27) (pow (/ 1 V) 1/9))
781.0ms	(* (pow A 1/27) (pow (/ 1 V) 1/9))
752.0ms	(* (pow A 1/27) (pow (/ 1 V) 1/9))
738.0ms	(* (pow A 1/27) (pow (/ 1 V) 1/9))
576.0ms	(* (* (cbrt (/ (cbrt (cbrt (sqrt A))) (sqrt (cbrt V)))) (cbrt (sqrt (cbrt A)))) (sqrt (/ (cbrt (cbrt A)) l)))

prune18.6s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.2b

regimes1.1s

Accuracy

0% (1.6b remaining)

Error of 2.8b against oracle of 1.2b and baseline of 2.8b

bsearch9.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

941.0ms	8904×	body	80	valid
911.0ms	8963×	body	80	nan